Which of the following points is collinear with (2, 1) and (3, 3)?
O (0,0)
O (1,-1)
O (4,4)
O(-1,-2)
HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!??????????!!!!!!!!!

Answer: V = 193.25π

Step-by-step explanation: The method to calculate volume of a solid of revolution is given by an integral of the form:

V =  [tex]\pi\int\limits^a_b {[f(x)]^{2}} \, dx[/tex]

f(x) is the area is the function that rotated forms the solid.

For f(x)=y= [tex]\frac{5}{36}-x^{2}[/tex] and solid delimited by x = 2 and x = 4:

V = [tex]\pi\int\limits^4_2 {(\frac{5}{36}-x^{2} )^{2}} \, dx[/tex]

V = [tex]\pi\int\limits^4_2 {(\frac{25}{1296}-\frac{10x^{2}}{36}+x^{4}) } \, dx[/tex]

V = [tex]\pi(\frac{25.4}{1296}-\frac{10.4^{3}}{108}+\frac{4^{5}}{5}-\frac{25.2}{1296}+\frac{10.2^{3}}{108}-\frac{2^{5}}{5} )[/tex]

V = [tex]\pi(\frac{50}{1296}-\frac{560}{1296}+\frac{992}{1296} )[/tex]

V = 193.25π

The volume of a solid formed by y = [tex]\frac{5}{36} - x^{2}[/tex] and delimited by x = 2 and x = 4

is 193.25π cubic units.

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▹ Answer

19%

▹ Step-by-Step Explanation

0.19 → hundreth's place.

19/100 (since the denominator is 100, that represents 100% while 19 represents 19%)

Final Answer - 19%

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

This represent 19% of his salary.

Given, Joe's salary goes for tax is 0.19.

We have to represent the value in percent.

Here 0.19 can be written in fraction form as,

[tex]\dfrac{19}{100}[/tex]

It means 19 part from 100 part goes for taxes, means 19% of the Joe's salary goes for taxes.

Hence this represent 19% of his salary.

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Answer:

1.union = {20 21 22 23 25 27 29}

2. intersection = {5 14 22}

3.1/3

Step-by-step explanation:

1. union U of sets a nd b ={20 21 22 23 25 27 29}

2. intersection n of sets a nd b = {5 14 22}

3. probability = one item / total

= 1/3

1.

A. {22, 25, 27, 29}

B. {20, 21, 22, 23}

Answer: A∪B = {22, 25, 27, 29, 20, 21, 23}

2.

A. {1, 5, 10, 14, 22}

B. {5, 14, 20, 22, 27}

Answer: A∩B = {5, 14, 22}

3.

A. {1, 5, 10, 14, 22}

B. {5, 14, 20, 22, 27}

Answer: The three items that are intersecting each have a 1/3 chance of being chosen.

The area of the rectangle is [tex]25q^2-9[/tex].

The area of the rectangle is the product of length and width.

The length of the sides of the square is 5q.

3 is added and 3 is subtracted to the length and the width of the square so, the dimensions of the new quadrilateral is (5q+3) and (5q-3).

So, the area of the rectangle is-

[tex]A=(5q+3)\times (5q-3)\\=25q^2-9[/tex]

Thus, the area of the rectangle is [tex]25q^2-9[/tex].

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Answer:25q^2-9

Step-by-step explanation:

your welcomeeeeeeee

Answer:

a) the angle of ascent is 8.2°

b) the horizontal distance traveled is 4375 m

Step-by-step explanation:

depth of ocean = 626 m

distance traveled in the ascent = 4420 m

This is an angle of elevation problem with

opposite side to the angle = 626 m

hypotenuse side = 4420 m

a) angle of ascent ∅ is gotten from

sin ∅ = opp/hyp = 626/4420

sin ∅ = 0.142

∅ = [tex]sin^{-1}[/tex] 0.142

∅ = 8.2°  this is the angle of ascent of the submarine.

b) The horizontal distance traveled will be gotten from Pythagoras theorem

[tex]hyp^{2}[/tex] = [tex]opp^{2}[/tex] + [tex]adj^{2}[/tex]

The horizontal distance traveled will be the adjacent side of the right angle triangle formed by these distances

[tex]4420^{2}[/tex] = [tex]626^{2}[/tex] + [tex]adj^{2}[/tex]

adj = [tex]\sqrt{4420^{2}-626^{2} }[/tex]

adj = 4375 m  this is the horizontal distance traveled.

Maricopa's Success scholarship fund receives a gift of $ 170000. The money is invested in stocks, bonds, and CDs. CDs pay 3.25 % interest, bonds pay 4.4 % interest, and stocks pay 11.4 % interest. Maricopa Success invests $ 25000 more in bonds than in CDs. If the annual income from the investments is $ 10055 , how much was invested in each account?

--------------------------

Equations:

s + b + C = 170000

11.4s + 4.4b + 3.25C = 1005500

b = C + 25000

-----------------------

Rearrange::

s + b + C = 170000

1140s + 440b + 325C = 100550000

0 + b - C = 25000

--------------------------

Use any method you know to solve the system to get:

stocks = 45000

bonds = 75000

CD's = 50000

----------------

Cheers,

Stan H.

--------------

Maricopa Success invested $

in stocks.

Maricopa Success invested $

in bonds.

Maricopa Success invested $

--------------

Hope this helps!

Brainliest would be great!

--------------

With all care,

07x12!

Answer:

D.

m = 2 = figures/month

b = 20 = # of action figures

Answer:

The hypothesis test is right-tailed.

Step-by-step explanation:

We are given that we want to test the claim that the majority of adults are in favor of raising the voting age to 21.

Let p = proportion of adults who are in favor of raising the voting age to 21

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\leq[/tex] 50%

Alternate Hypothesis, [tex]H_A[/tex] : p > 50%

As we know that the majority is there when we have more 50% chance of happening of that event.

Here, the null hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is less or equal to 50%.

On the other hand, the alternate hypothesis states that the proportion of adults who are in favor of raising the voting age to 21 is more than 50%.

This shows that our hypothesis test is right-tailed because in the alternate hypothesis, the greater than sign is included.

Answer:

3/20

Step-by-step explanation:

since there is a total of 20 tulips that would be your denominator then your numerator would be the number of purple tulips which would be 3 so you probability of randomly selecting a purple tulip would be 3/20

Answer:

1) Not congruent

2) AAS

3) Not congruent

4) SAS

5) SSS

6) ASA

Step-by-step explanation:

In SSS, ASA, AAS, and SAS, S stands for side and A stands for angle.  If the sides and angles are congruent in any of those patterns, the triangles are congruent.

Hope it helps <3

Answer:

1. Not congruent

2. AAS, Congruent

3. Not congruent

4. SAS, congruent

5. SSS, congruent

6. ASA, Congruent

Step-by-step explanation:

1. Not congruent

It only shows that there are 3 similar angles. There were no sides described.

2. AAS, Congruent

They are congruent, just rotated in an angle (see proof 2)

3. Not congruent

It only shows 2 sides next to each other and an angle next to one side.

4. SAS, congruent

It shows 2 sides that are congruent and congruent angles between them (see proof 4)

5. SSS, congruent

All 3 sides are congruent (see proof 5,6)

6. ASA, Congruent

2 angles and an adjacent side are congruent(see proof 5,6)

Answer:

-3x+y=0

Step-by-step explanation:

Standard form= Ax+Bx=C

Add -3x both sides, answer -3x+1y=0

Answer:

13=x

Step-by-step explanation:

Since BE is a bisector

ABE = EBC

2x+20 = 4x-6

Subtract 2x from each side

2x+20-2x =4x-6-2x

20 = 2x-6

Add 6 from each side

20+6 = 2x-6+6

26 = 2x

Divide each side by 2

26/2 = 2x/2

13=x

Answer:

x = 13

Step-by-step explanation:

The angle bisector theorem means that m<ABE = m<EBC. Now that we know they are equal, we can set the equations to each other and solve for x.

2x + 20 = 4x - 6

26 = 2x

13 = x

So the value of x is 13.

Cheers.

Answer:

The temperature droped from 17 5/8° C to - 8 1/2° C = 26 1/8° C, simply add the 2 mixed fractions together and you'll get the temperture change.

Step-by-step explanation:

Convert to a mixed number:

209/8

Divide 209 by 8:

8 | 2 | 0 | 9

8 goes into 20 at most 2 times:

| | 2 | |  

8 | 2 | 0 | 9 |  

- | 1 | 6 | |  

| | 4 | 9 |  

8 goes into 49 at most 6 times:

| | 2 | 6 |  

8 | 2 | 0 | 9 |  

- | 1 | 6 | |  

| | 4 | 9 |  

| - | 4 | 8 |  

| | | 1 |  

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:

| | 2 | 6 | (quotient)

8 | 2 | 0 | 9 |  

- | 1 | 6 | |  

| | 4 | 9 |  

| - | 4 | 8 |  

| | | 1 | (remainder)

The quotient of 209/8 is 26 with remainder 1, so:

Answer: 26 1/8° C

Answer:

138,920 m²

Step-by-step explanation:

A square pyramid has 1 square base and 4 lateral triangular faces.

Area of square pyramid is given as BASE Area (BA) + ½*Perimeter of Base (P) × Slant height

Area of pyramid = [tex] b^2 + \frac{1}{2}*4(b)*l [/tex]

Where,

b = base length = 230 m

l = slant height = 187 m (height of the triangular sides)

Surface area = [tex] 230^2 + \frac{1}{2}*4(230)*187 [/tex]

[tex] = 52900 + 2(230)*187 [/tex]

[tex] = 52900 + 86020 [/tex]

[tex] = 138920 [/tex]

Surface area of the pyramid = 138,920 m²

Answer:

hope i helped thank you

Step-by-step explanation:

Answer:

1

Cans              4cans                  8 cans                   12 cans

Cost                $2.25                   $4.5                      $6.75

2

Ice Cream   180 q       360 q      540 q       720q        900q           1080 q

Hours       2 hours     4 hours    6 hours    8 hours   10 hours      12 hours

***q = quarts

3

Distance        650 miles           1300 miles           1950 miles

Hours              3 hours                 6 hours                9 hours

Answer:

Question 1 - 8 cans = $4.50, 12 cans = $10.13

Question 2 - 4 hours = 360 quarts, 6 hours = 540 quarts, 8 hours = 720 quarts, 12 hours = 1,170

Question 3 - 1,950 miles in 9 hours

Hope this helps :)

Answer: d) Not in Col in Nul A

Step-by-step explanation: The definition of Column Space of an m x n matrix A is the set of all possible combinations of the columns of A. It is denoted by col A. To determine if a vector is a column space, solve the matrix equation:

A.x = b or, in this case, [tex]A.x=u[/tex].

To solve, first write the augmented matrix of the system:

[tex]\left[\begin{array}{cccc}1&0&3&-4\\-2&-1&-4&-5\\3&-3&0&3\\-1&3&6&1\end{array}\right][/tex]

Now, find the row-echelon form of matrix A:

1) Multiply 1st row by 2 and add 2nd row;

2) Multiply 1st row by -3 and add 3rd row;

3) MUltiply 1st row by 1 and add 4th row;

4) MUltiply 2nd row by -1;

5) Multiply 2nd row by 3 and add 3rd row;

6) Multiply 2nd row by -3 and add 4th row;

7) Divide 3rd row by -15;

8) Multiply 3rd row by -15 and add 4th row;

The echelon form matrix will be:

[tex]\left[\begin{array}{cccc}1&0&3&-4\\0&1&-2&13\\0&0&1&-\frac{51}{15}\\0&0&0&-13 \end{array}\right][/tex]

Which gives a system with impossible solutions.

But if [tex]A.x=0[/tex], there would be a solution.

Null Space of an m x n matrix is a set of all solutions to [tex]A.x=0[/tex], so vector u is a null space of A, denoted by null (A)

Answer: hello your table is incomplete here is the complete table

Fertilizer Amount (ounces) Tomato Plant Height (inches)

1.9 20.4

5.0 49.2

4.2 56.1

1.3 24.3

4.9 29.2

5.4 60.8

3.1 24.6

0.0 25.3

2.3 26.2

2.5 25.7

0.9 26.5

1.0 28.6

4.5 62.9

3.8 30.8

5.3 43.2

2.3 33.4

4.0 35.1

1.4 22.1

3.9 40.6

4.0 44.5

3.6 29.7

0.6 21.1

1.6 25.4

2.5 29.6

4.5 27.6

3.6 32.6

2.0 33.5

0.0 22.5

2.5 27.6

3.1 46.4

Answer : a)Height = 18.639 + 5.208  * fertilizer

b) The Y intercept make practical sense because without fertilizer there will still be an  increase in plant height ( y intercept )  

c) 34.263

Step-by-step explanation:

A) Estimating  the model

Height = β0 + β1 FERTILIZER + ∈

β0 = 18.639

β1 = 5.208

hence

Height = 18.639 + 5.208  * fertilizer  ( using excel )

B) The y- intercept

The Y intercept make practical sense because without fertilizer there will still be an  increase in plant height ( y intercept )  

C ) using the estimated model to predict  after four months

the model = 18.639 + 5.208 * fertilizer

fertilizer ounce given = 3

therefore height of tomato plant after 4 months that received 3 ounces of fertilizer = 18.639 + 5.208 * 3 = 34.263

C. y= -28/x

y=k/x

cross multiply

k= y×x

k = -2×14

k = -28

y = -28/x [ equation connecting x and y]

The equation that connects x and y si y = –28∕x.

The correct option is (C)

The constant of proportionality is the ratio of two proportional values at a constant value. Two variable values have a proportional relationship when either their ratio or their product gives a constant. The proportionality constant's value is determined by the proportion between the two specified quantities.

For example,  The number of apples in a crop, for example, is proportional to the number of trees in the orchard, the ratio of proportionality being the average number of apples per tree.

We have given that

y ∝ 1∕x

To remove proportional sign we use proportionality constant

y=k/x

Now, cross multiply

k= y×x

k = -2×14

k = -28

y = -28/x

Hence, the equation is y = -28/x .

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Answer:

B. 3.19b + 4.59m = 137.24

3.49b + 4.39m = $140.04

Step-by-step explanation:

A B

Bread $3.19 $3.49

Milk $4.59 $4.39

Sue paid $137.24 in supermarket A

Sue paid $140.04 in supermarket B

Let

Price of bread A=$3.19

Price of bread B=$3.49

Price of milk A=$4.59

Price of milk B=$4.39

Quantity of Bread=b

Quantity of Milk=m

Pb=price of bread

Pm=price of milk

Qb=Quantity of bread

Qm=Quantity of milk

For each supermarket

Supermarket A Equation

PbQb + PmQm =$137.24

3.19b+ 4.59m = 137.24

Supermarket B Equation

PbQb + PmQm=$140.04

3.49b + 4.39m = $140.04

Combining both equations

3.19b + 4.59m = 137.24

3.49b + 4.39m = $140.04

Answer:

The answer is "20".

Step-by-step explanation:

It is also known as the group of the study, that targets the population, which helps to find the survey, which is the sampled population. It is measured by an ideal world, which will be the same, and they're always unique.  

Answer:

a. x = 36°, y = 36°, z = 34°

Step-by-step explanation:

X = 36° because x and 144° are supplementary angles and the sum of supplementary angles = 180°

The sum of interior angles in a triangle is equal to 180° since one of the angle is given as 110° the sum of z and y must be equal to 70° the option that fits these qualities is a. x = 36°, y = 36°, z = 34°

Answer:

it took 7 hours for the bread to drop at a constent rate

Step-by-step explanation:

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and  test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

Answer:

Well, of course, i can not graph it in the coordinate plane in the image, but i can try to teach you how to do it.

We have the function y = (1/2)*x + 5

The first step is to generate pairs (x, y)

You can do it by evaluating the function in different values of x.

For example;

if x = 0

y = (1/2)*0 + 5 = 5

then we have the point (0,5)

if x = 2

y = (1/2)*2 + 5 = 6

Then we have the point (1, 6)

Now, with only two points you can graph the line.

First find the points in the coordinate plane, and mark them.

Now, with a ruler, draw a line that connects the two points.

That line is the graph of the function.

An example of the graph is:

*see the attachment below for the missing figure

Answer:

[tex] sin B = \frac{24}{25} [/tex]

Step-by-step explanation:

Given a right angled triangle, ∆ABC

AB = 25

BC = 7

AC = 24

<ACB = 90°

Required:

Value of Sin B

Solution:

Using trigonometric ratio formula,

[tex] sin B = \frac{opposite}{hypotenuse} [/tex]

Opposite = AC = 24 (the side opposite to <B)

Hypotenuse = AB = 25 (the longest side facing the right angle)

[tex] sin B = \frac{24}{25} [/tex]

Answer:

Step-by-step explanation:

To find the length of BC we use tan

tan ∅ = opposite / adjacent

From the question

AC is the opposite

BC is the adjacent

So we have

tan 61 = AC / BC

tan 61 = 47/BC

BC = 47/tan 61

Hope this helps you

Answer:

I always factor out the -1 so my leading coefficient is 1

Step-by-step explanation:

-x^2 + 10x -24

I always factor out the -1 so my leading coefficient is 1

-1 ( x^2 -10x +24)

Then what 2 terms multiply to 24 and add to -10

-6*-4 = 24

-6+-4 = -10

-1( x-6)(x-4)

Answer:

Total cost = $864

Step-by-step explanation:

The area of the rectangular room

= 18*12

= 216 ft²

The sides of the square is 1ft

The area of the square= 1ft²

To know how many square tiles it will take= 216/1 = 216 square tiles.

The total cost to completely cover the room with tiles if each tiles cost $4

= 216*4

= $864

Total cost=$864

Answer:

18

Step-by-step explanation:

23^0 - 15^1 + 18^0 + (43 - 12) =

= 1 - 15 + 1 + 31

= -14 + 1 + 31

= -13 + 31

= 18

Answer and Step-by-step explanation:

1. Data provided

[tex]\frac{d^2y}{dx^2} + 4y = x - x^2 + 20\\\\ \frac{d^2y}{dx^2} + 4y = - x^2 + x + 20[/tex]

Now as a non homogeneous part which is

[tex]- x^2 + x + 20[/tex] let us assume the computation is

[tex]y_p(x) = Ax^2 + Bx + C[/tex]

2. Data provided

[tex]\frac{ d^2y}{dx^2} + \frac{6dy}{dx} + 8y = e^{2x}[/tex]

As a non homogeneous part is [tex]e^2x[/tex] , let us assume the computation is

[tex]y_p(x) = Ae^{2x}[/tex]

3. Data provided

[tex]y'' + 4y' + 20y = -3sin2x[/tex]

As a non homogeneous part −3sin(2x), let us assume the computation is

[tex]y_p(x) = Acos(2x) + Bsin(2x)[/tex]

4. Data provided

[tex]y'' - 2y' - 15y = 3xcos(2x)[/tex]

As a non homogeneous part  3xcos(2x), let us assume the computation is

[tex]y_p(x) = (Ax+B)cos2x+(Cx+D)sin2x[/tex]